10132012203210 has 384 divisors, whose sum is σ = 28084361969664. Its totient is φ = 2627197597440.

The previous prime is 10132012203179. The next prime is 10132012203221. The reversal of 10132012203210 is 1230221023101.

10132012203210 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 2 + 20 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8535814237 + ... + 8535815423.

It is an arithmetic number, because the mean of its divisors is an integer number (73136359296).

Almost surely, 2^{10132012203210} is an apocalyptic number.

10132012203210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132012203210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042180984832).

10132012203210 is an abundant number, since it is smaller than the sum of its proper divisors (17952349766454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132012203210 is a wasteful number, since it uses less digits than its factorization.

10132012203210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132012203210 its reverse (1230221023101), we get a palindrome (11362233226311).

The spelling of 10132012203210 in words is "ten trillion, one hundred thirty-two billion, twelve million, two hundred three thousand, two hundred ten".